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Finding the Fourth Proportional to 447,130.46, 670,696.13 and 180,893.24

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Solution

The fourth proportional to 447,130.46, 670,696.13 and 180,893.24 is: 271,340.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,130.46 : 670,696.13 = 180,893.24 : x
  2. Step 2: Convert to fraction form
    447,130.46/670,696.13 = 180,893.24/x
  3. Step 3: Cross multiply
    447,130.46x = 670,696.13 × 180,893.24
  4. Step 4: Simplify right side
    447,130.46x = 121,324,396,011.16
  5. Step 5: Solve for x
    x = 121,324,396,011.16/447,130.46
  6. Step 6: Final answer
    x = 271,340.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.